137729 has 4 divisors (see below), whose sum is σ = 140976. Its totient is φ = 134484.

The previous prime is 137723. The next prime is 137737. The reversal of 137729 is 927731.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 927731 = 7 ⋅132533.

It is a cyclic number.

It is not a de Polignac number, because 137729 - 2⁴ = 137713 is a prime.

It is a d-powerful number, because it can be written as 1 + 3⁸ + 7 + 7 + 2¹⁷ + 9² .

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1559 + ... + 1644.

It is an arithmetic number, because the mean of its divisors is an integer number (35244).

137729 is a Friedman number, since it can be written as 7*((2+1)^9-7)-3, using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 269 ⋅ 2⁹ + 1 and 269 < 2⁹.

2¹³⁷⁷²⁹ is an apocalyptic number.

It is an amenable number.

137729 is a deficient number, since it is larger than the sum of its proper divisors (3247).

137729 is an equidigital number, since it uses as much as digits as its factorization.

137729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246.

The product of its digits is 2646, while the sum is 29.

The square root of 137729 is about 371.1185794325. The cubic root of 137729 is about 51.6426434739.

The spelling of 137729 in words is "one hundred thirty-seven thousand, seven hundred twenty-nine".